Functional Separation of Variables in Nonlinear PDEs: General Approach, New Solutions of Diffusion-Type Equations

@inproceedings{Polyanin2020FunctionalSO,
  title={Functional Separation of Variables in Nonlinear PDEs: General Approach, New Solutions of Diffusion-Type Equations},
  author={Andrei D. Polyanin},
  year={2020}
}
The study gives a brief overview of existing modifications of the method of functional separation of variables for nonlinear PDEs. It proposes a more general approach to the construction of exact solutions to nonlinear equations of applied mathematics and mathematical physics, based on a special transformation with an integral term and the generalized splitting principle. The effectiveness of this approach is illustrated by nonlinear diffusion-type equations that contain reaction and convective… 

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